Answer: x = 7/6 and y = 2.33.
7 = 6x. To solve for x, we'll divide both sides of the equation by 6:
7/6 = 6x/6
This simplifies to:
7/6 = x
Next, let's move on to the second equation:
4x + y = 7
To solve for y, we'll isolate y on one side of the equation by subtracting 4x from both sides:
4x + y - 4x = 7 - 4x
y = 7 - 4x
Now that we have expressions for x and y, we can substitute the value of x into the expression for y:
y = 7 - 4x
y = 7 - 4 (7/6)
y = 7 - 4 (7/6)
y = 7 - 28/6
y = 7 - 4 (7/6)
y = 7 - 4 (7/6)
y = 7 - 28/6
y = 7 - 4 (7/6)
y = 7 - 4.67
y = 2.33
So, the solution to this system of equations is x = 7/6 and y = 2.33.
Explanation: